10221112000 has 168 divisors, whose sum is σ = 27825557760. Its totient is φ = 3716416000.

The previous prime is 10221111961. The next prime is 10221112003. The reversal of 10221112000 is 21112201.

It is a super-3 number, since 3×10221112000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962721 + ... + 973279.

It is an arithmetic number, because the mean of its divisors is an integer number (165628320).

Almost surely, 2^10221112000 is an apocalyptic number.

10221112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912778880).

10221112000 is an abundant number, since it is smaller than the sum of its proper divisors (17604445760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221112000 is a wasteful number, since it uses less digits than its factorization.

10221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221112000 its reverse (21112201), we get a palindrome (10242224201).

It can be divided in two parts, 10221 and 112000, that added together give a palindrome (122221).

The spelling of 10221112000 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand".